A 5.00-g bullet, traveling horizontally with a velocity of magnitude 400 m/s, is fired into a wooden block with mass 0.900 kg, initially at rest on a level surface. The bullet passes through the block and emerges with its speed reduced to 190 m/s. The block slides a distance of 72.0 cm along the surface from its initial position.

A steel ball of mass 0.870 kg is fastened to a cord that is 85.0 cm long and fixed at the far end. The ball is then released when the cord is horizontal, as shown in the figure. At the bottom of its path, the ball strikes a 4.00 kg steel block initially at rest on a frictionless surface. The collision is elastic. Find (a) the speed of the ball and (b) the speed of the block, both just after the collision. (a) Number i Unit (b) Number i Unit

You fire a bullet at a ballistic pendulum. The large block of wood has a mass M2 = 3 kg, and the bullet has a mass of m1 = 35 g. The bullet completely penetrates the wood and emerges with a speed of vf = 80 m/s. The wood, as part of a pendulum, swings up to a maximum height of h = 11 cm. (a) Determine the speed of the block of wood after the bullet has passed through it. m/s(b) What is the speed of the bullet just before it hits the block? m/s(c) If the pendulum length is 0.8 m, what angle does the pendulum string make with the vertical when it reaches the top of its swing? degrees

The figure shows a 0.3 kg baseball just before and just after it collides with a bat. Just before, the ball has velocity v₁ of magnitude 10.9 m/s and angle 0₁ = 30.9°. Just after, it is traveling directly upward with velocity 2 of magnitude 8.80 m/s. The duration of the collision is 1.30 ms. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the impulse on the ball from the bat? What are the (c) magnitude and (d) direction of the average force on the ball from the bat?